Articoli correlati a Complex Analysis
Sinossi
This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex Analysis" offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and complete with exercise sets, this volume may be used both as a basic text and as a reference. For this second edition, the authors have revised some of the existing material and have provided new exercises and solutions.
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Recensione
From the reviews of the second edition:
"This is a clever, concise, concrete, and classical complex analysis book, aimed at undergraduates with no background beyond single-variable calculus. The book has an eclectic flavor ... . There are many exercises ... . Answers to all exercises are given in the back of the book ... ." (Allen Stenger, The Mathematical Association of America, October, 2009)
Contenuti
Preface; 1. The Complex Numbers; 2. Functions of the Complex Variable z; 3. Analytic Functions; 4. Line Integrals and Entire Functions; 5. Properties of Entire Functions; 6. Properties of Analytic Functions; 7. Further Properties of Analytic Functions; 8. Simply Connected Domains; 9. Isolated Sigularities of an Analytic Function; 10. The Residue Theorem; 11. Applications of The Residue Theorem to the Evaluation of Integrals Sums; 12. Further Contour Integral Techniques; 13. Introduction to Conformal Mapping; 14. The Riemann Mapping Theorem; 15. Maximum-Modulus Theorems for Unbounded Domains; 16. Harmonic Functions; 17. Different Forms of Analytic Functions; 18. Analytic Continuation; The Gamma and Zeta Functions; 19. Applications to Other Areas of Mathematics; Appendices; Answers; Bibliography; Index
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Complex Analysis (Undergraduate Texts in Mathematics)
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Springer-Verlag New York Inc., 1996
ISBN 10: 0387947566
ISBN 13: 9780387947563
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Complex Analysis (Undergraduate Texts in Mathamatics)
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Complex Analysis
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COMPLEX ANALYSIS.
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Complex Analysis. Second Edition.
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Complex Analysis (Undergraduate Texts in Mathematics)
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Complex Analysis (Undergraduate Texts in Mathematics)
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